Eikonal approximation in quantum-field theory

Barbashov, B. M.; Kuleshov, S.P.; Matveev, V.; Sisakyan, A. N.

doi:10.1007/bf01028526

Cited by 7 publications

(10 citation statements)

References 10 publications

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“…Is it possible to get rid of the "anti-velocity" altogether? In the present Letter we show that this is feasible by using a method which has been introduced by Barbashov and coworkers [2,3,4] nearly 40 years ago. They showed how one can amputate exact Green functions in Quantum Field Theory without using perturbation theory but their work doesn't seem to have received much attention apart from the (rather specialized) field of quantum gravity where Fabbrichesi, Han and others [5,6,7,8] have extensively used the Barbashov method to describe gravitational scattering.…”

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confidence: 77%

A new path-integral representation of the T-matrix in potential scattering

Carron¹,

Rosenfelder²

2011

Physics Letters A

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We employ the method used by Barbashov and collaborators in Quantum Field Theory to derive a pathintegral representation of the T -matrix in nonrelativistic potential scattering which is free of functional integration over fictitious variables as was necessary before. The resulting expression serves as a starting point for a variational approximation applied to high-energy scattering from a Gaussian potential. Good agreement with exact partial-wave calculations is found even at large scattering angles. A novel path-integral representation of the scattering length is obtained in the low-energy limit.

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confidence: 77%

A new path-integral representation of the T-matrix in potential scattering

Carron¹,

Rosenfelder²

2011

Physics Letters A

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“…An approach that has probed the first of these features with some success is the one that based on the reggeized string exchange amplitudes with subsequent reduction to the gravitational eikonal limit including the leading order corrections [18]. In articles [19][20][21] the high energy scattering amplitude of two "nucleons" in the quantum gravity is constructed by extending the functional integration method [22][23][24][25][26][27][28] which has been used effectively in quantum electrodynamics [29][30][31][32][33][34][35][36][37][38]. A straightline path approximation was used to calculate the functional integrals which occur.…”

Section: Introductionmentioning

confidence: 99%

The contribution of effective quantum gravity to the high energy scattering in the framework of modified perturbation theory and one loop approximation

Han

Xuan

2019

Eur. Phys. J. C

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The asymptotic behavior of the scattering amplitude for two scalar particles at high energies with fixed momentum transfers is studied. The study is done within the effective theory of quantum gravity based on quasi-potential equation. By using the modified perturbation theory, a systematic method is developed to find the leading eikonal scattering amplitudes together with corrections to them in the one-loop gravitational approximation. The relation is established and discussed between the solutions obtained by means of the operator and functional approaches applied to quasi-potential equation. The first non-leading corrections to the leading eikonal amplitude are found.

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“…In the meantime path-integral formulations for the T -matrix have been found (or rediscovered [3]) which do not need an "anti-velocity" at all but are more involved. They are either based on a technique invented by Barbashov and collaborators in quantum field theory [11] or use the asymptotic limit of the path-integral solution of the Schrödinger equation [4].…”

Section: Introductionmentioning

confidence: 99%